Source type positive solutions of nonlinear parabolic inequalities
Space dimension can prevent the blow-up of solutions for parabolic problems.
Spectrum of the linearized operator for the Ginzburg-Landau equation.
Spreading and vanishing in nonlinear diffusion problems with free boundaries
We study nonlinear diffusion problems of the form with free boundaries. Such problems may be used to describe the spreading of a biological or chemical species, with the free boundary representing the expanding front. For special of the Fisher-KPP type, the problem was investigated by Du and Lin [DL]. Here we consider much more general nonlinear terms. For any which is and satisfies , we show that the omega limit set of every bounded positive solution is determined by a stationary solution....
Stability analysis of a model of atherogenesis: an energy estimate approach. II.
Stability and consistency of the semi-implicit co-volume scheme for regularized mean curvature flow equation in level set formulation
We show stability and consistency of the linear semi-implicit complementary volume numerical scheme for solving the regularized, in the sense of Evans and Spruck, mean curvature flow equation in the level set formulation. The numerical method is based on the finite volume methodology using the so-called complementary volumes to a finite element triangulation. The scheme gives the solution in an efficient and unconditionally stable way.
Stability and continuous dependence of solutions of one-phase Stefan problems for semilinear parabolic equations.
Stability for a diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes
A diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes is considered. Local stability for each constant steady state is studied by analyzing the eigenvalues. Some simple and easily verifiable sufficient conditions for global stability are obtained by virtue of the stability of the related FDE and some monotonous iterative sequences. Numerical simulations and reasonable biological explanations are carried out to illustrate the main results and the justification...
Stability of global solutions to one-phase Stefan problem for a semilinear parabolic equation
Stability of radially symmetric travelling waves in reaction–diffusion equations
Stabilization of solutions for semilinear parabolic systems as .
Stabilization of walls for nano-wires of finite length
In this paper we study a one dimensional model of ferromagnetic nano-wires of finite length. First we justify the model by Γ-convergence arguments. Furthermore we prove the existence of wall profiles. These walls being unstable, we stabilize them by the mean of an applied magnetic field.
Stabilization of walls for nano-wires of finite length
In this paper we study a one dimensional model of ferromagnetic nano-wires of finite length. First we justify the model by Γ-convergence arguments. Furthermore we prove the existence of wall profiles. These walls being unstable, we stabilize them by the mean of an applied magnetic field.
Stabilization of walls for nano-wires of finite length
In this paper we study a one dimensional model of ferromagnetic nano-wires of finite length. First we justify the model by Γ-convergence arguments. Furthermore we prove the existence of wall profiles. These walls being unstable, we stabilize them by the mean of an applied magnetic field.
Stabilizing influence of a Skew-symmetric operator in semilinear parabolic equation
Starke Lösungen semilinearer parabolischer Differentialgleichungen.
Stochastic representations of derivatives of solutions of one-dimensional parabolic variational inequalities with Neumann boundary conditions
In this paper we explicit the derivative of the flows of one-dimensional reflected diffusion processes. We then get stochastic representations for derivatives of viscosity solutions of one-dimensional semilinear parabolic partial differential equations and parabolic variational inequalities with Neumann boundary conditions.
Strong maximum and minimum principles for parabolic functional-differential problems with initial inequalities
Strong maximum and minimum principles for parabolic functional-differential problems with nonlocal inequalities
Strong maximum principle for non-linear parabolic differential-functional inequalities